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Finding the Fourth Proportional to 11,542.95, 15,927.26 and 6,825.51

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Solution

The fourth proportional to 11,542.95, 15,927.26 and 6,825.51 is: 9,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.95 : 15,927.26 = 6,825.51 : x
  2. Step 2: Convert to fraction form
    11,542.95/15,927.26 = 6,825.51/x
  3. Step 3: Cross multiply
    11,542.95x = 15,927.26 × 6,825.51
  4. Step 4: Simplify right side
    11,542.95x = 108,711,672.40
  5. Step 5: Solve for x
    x = 108,711,672.40/11,542.95
  6. Step 6: Final answer
    x = 9,418.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.